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Finding the Fourth Proportional to 8,646.80, 11,936.84 and 5,111.12

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Solution

The fourth proportional to 8,646.80, 11,936.84 and 5,111.12 is: 7,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.80 : 11,936.84 = 5,111.12 : x
  2. Step 2: Convert to fraction form
    8,646.80/11,936.84 = 5,111.12/x
  3. Step 3: Cross multiply
    8,646.80x = 11,936.84 × 5,111.12
  4. Step 4: Simplify right side
    8,646.80x = 61,010,621.66
  5. Step 5: Solve for x
    x = 61,010,621.66/8,646.80
  6. Step 6: Final answer
    x = 7,055.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.